Dynamical 𝐿-functions and homology of closed orbits

DOI10.1090/S0273-0979-1989-15702-9zbMath0706.58045MaRDI QIDQ3488183

Toshikazu Sunada, Atsushi Katsuda

Publication date: 1989

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

topological entropydynamical L-functionshomology of closed orbitssmooth transitive Anosov flow on a closed manifoldwinding cycle

Mathematics Subject Classification ID

Related Items (1)

THE PRIME GEODESIC THEOREM AND QUANTUM MECHANICS ON FINITE VOLUME GRAPHS: A REVIEW

Cites Work

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• An analogue of the prime number theorem for closed orbits of Axiom A flows
• Geodesics in homology classes and periods of automorphic forms
• The central limit theorem for current-valued processes induced by geodesic flows
• On the rate of mixing of Axiom A flows
• Geodesics in homology classes
• Asymptotics for closed geodesics in a homology class, the finite volume case
• Twisted Perron-Frobenius theorem and \(L\)-functions
• Homology of closed geodesics in a negatively curved manifold
• The Chebotarov theorem for Galois coverings of Axiom A flows
• Approximation by Brownian motion for Gibbs measures and flows under a function
• Bowen's equidistribution theory and the Dirichlet density theorem
• Homology and Closed Geodesics in a Compact Riemann Surface
• Symbolic Dynamics for Hyperbolic Flows
• Homology of Closed Orbits of Anosov Flows
• Anosov Flows

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